Quantitative Aptitude - Arithmetic Ability Questions

What is the value of (1 + cotA)2 + (1 -­ cotA)2?

If cos 135° = x, then the value of x is

In the given figure, PQR is a right angled triangle at Q. If PQ = 35 cm and QS = 28 cm, then what is the value (in cm) of SR?

A boat is sailing towards a lighthouse of height 20√3 m at a certain speed. The angle of elevation of the top of the lighthouse changes from 30° to 60° in 10 seconds. What is the time taken (in seconds) by the boat to reach the lighthouse from its initial position?

R borrowed Rs. 1,200 at 13% per annum simple interest. What amount will R pay to clear the debt after 5 years?

The average revenues of 7 consecutive years of a company is Rs 71 lakhs. If the average of first 4 years is Rs 66 lakhs and that of last 4 years is Rs 78 lakhs. What is the revenue for the fourth year.

If x -­ y = ­7 and x + y = 13, then x2 - y2 is

Find the value of x if 1-x24 = 1318